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529,313

529,313 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

529,313 (five hundred twenty-nine thousand three hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x813A1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
810
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
313,925
Square (n²)
280,172,251,969
Cube (n³)
148,298,815,206,467,297
Divisor count
2
σ(n) — sum of divisors
529,314
φ(n) — Euler's totient
529,312

Primality

529,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 529313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 529,313)
1 × 529313
First multiples
529,313 · 1,058,626 (double) · 1,587,939 · 2,117,252 · 2,646,565 · 3,175,878 · 3,705,191 · 4,234,504 · 4,763,817 · 5,293,130

Sums & aliquot sequence

As a sum of two squares: 28² + 727²
As consecutive integers: 264,656 + 264,657

Continued fraction of √n

√529,313 = [727; (1, 1, 5, 1, 10, 10, 1, 1, 1, 1, 5, 5, 5, 1, 5, 2, 3, 3, 1, 44, 1, 2, 2, 1, …)]

Representations

In words
five hundred twenty-nine thousand three hundred thirteen
Ordinal
529313th
Binary
10000001001110100001
Octal
2011641
Hexadecimal
0x813A1
Base64
CBOh
One's complement
4,294,437,982 (32-bit)
Scientific notation
5.29313 × 10⁵
As a duration
529,313 s = 6 days, 3 hours, 1 minute, 53 seconds
In other bases
ternary (3) 222220002012
quaternary (4) 2001032201
quinary (5) 113414223
senary (6) 15202305
septenary (7) 4333121
nonary (9) 886065
undecimal (11) 331754
duodecimal (12) 216395
tridecimal (13) 156c05
tetradecimal (14) dac81
pentadecimal (15) a6c78

As an angle

529,313° = 1,470 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵φκθτιγʹ
Chinese
五十二萬九千三百一十三
Chinese (financial)
伍拾貳萬玖仟參佰壹拾參
In other modern scripts
Eastern Arabic ٥٢٩٣١٣ Devanagari ५२९३१३ Bengali ৫২৯৩১৩ Tamil ௫௨௯௩௧௩ Thai ๕๒๙๓๑๓ Tibetan ༥༢༩༣༡༣ Khmer ៥២៩៣១៣ Lao ໕໒໙໓໑໓ Burmese ၅၂၉၃၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 529307.

Hex color
#0813A1
RGB(8, 19, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.19.161.

Address
0.8.19.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.19.161

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 529,313 and was likely granted around 1894.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 529313 first appears in π at position 821,961 of the decimal expansion (the 821,961ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.